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Uniformly continuous maps between ends of R-trees

Martinez Pérez, Álvaro and Morón, Manuel A. (2009) Uniformly continuous maps between ends of R-trees. Mathematische Zeitschrift, 263 (3). pp. 583-606. ISSN 0025-5874

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Abstract

There is a well-known correspondence between infinite trees and ultrametric spaces which can be interpreted as an equivalence of categories and comes from considering the end space of the tree. In this equivalence, uniformly continuous maps between the end spaces are translated to some classes of coarse maps (or even classes of metrically proper Lipschitz maps) between the trees.

Item Type:Article
Uncontrolled Keywords:Tree; ultrametric; end space; coarse map; uniformly continuous; non-expansive map
Subjects:Sciences > Mathematics > Topology
ID Code:15114
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Deposited On:07 May 2012 08:48
Last Modified:06 Feb 2014 10:16

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